Tutorials In Introductory Physics: Homework
1st Edition
ISBN: 9780130662453
Author: Lillian C. McDermott, Peter S. Shaffer
Publisher: PEARSON
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Chapter 11.1, Problem 2aT
To determine
To Compare:The frequency of the two sources and whether the two sources are in phase or out of phase with respect to each other.
The source separation in terms of wavelength.
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Please use the picture provided to answer the following two questions:
1. are the two sources in phase or out of phase? Explain how you can tell from the diagram. if the two sources are out of phase, give the phase difference between the two sources. Explain.
2. What is the source separation, d, in terms of the wavelength lamda? Explain your reasoning.
1, Are the two sources in phase or out of phase? Explain how you can tell from the diagram. If the two sources are out of phase, give the phase difference between the two sources. Explain.
2, What is the source separation, d, in terms of the wavelength X? Explain your reasoning.,
Two point sources are vibrating together (in phase) at the same frequency to produce a two-point source interference pattern. The diagram at the right depicts the two-point source interference pattern. The crests are represented by thick lines and the troughs by thin lines. Several points on the pattern are marked by a dot and labeled with a letter. Use the diagram to answer the following questions.
a. Which of the labeled points are located on the second antinodal line?
b. Which of the labeled points are located on the third antinodal line?
c. Which of the labeled points are located on the first nodal line (using the notation that the first nodal line is the nodal line directly to the left or the right of the central antinodal line)?
d. Which of the labeled points are located on the second nodal line (using the notation that the second nodal line is the second nodal line directly to the left or the right of the central antinodal line)?
e. Which of the labeled points are located on the…
Chapter 11 Solutions
Tutorials In Introductory Physics: Homework
Ch. 11.1 - Prob. 1TCh. 11.1 - Prob. 2aTCh. 11.1 - Prob. 2bTCh. 11.1 - Prob. 2cTCh. 11.1 - The representation that we have been using...Ch. 11.1 - Prob. 2eTCh. 11.1 - Prob. 2gTCh. 11.1 - Each of the photographs at right shows a part of a...Ch. 11.1 - Obtain a piece of paper and a transparency with...Ch. 11.2 - Obtain a pan of water and form a barrier in it...
Ch. 11.2 - Prob. 2aTCh. 11.2 - Obtain an enlargement of the diagram at right that...Ch. 11.2 - Suppose that the width of one of the slits were...Ch. 11.2 - Red light from a distant point source is incident...Ch. 11.2 - Compare the situation in part II (in which a...Ch. 11.2 - For each of the lettered points, determine D (in...Ch. 11.2 - Suppose that one of the slits were covered. At...Ch. 11.2 - The pattern produced by red light passing through...Ch. 11.2 - Consider point B, the first maximum to the left of...Ch. 11.3 - Red light from a distant point source is incident...Ch. 11.3 - In a previous homework, you found an expression...Ch. 11.3 - Suppose that the screen were semicircular, as...Ch. 11.3 - Consider a point M on the distant screen where...Ch. 11.3 - Consider a point N on the screen where there is a...Ch. 11.3 - Obtain a set of transparencies of sinusoidal...Ch. 11.3 - Suppose that coherent red light were incident on a...Ch. 11.3 - Generalize your results from the 2-slit, 3-slit,...Ch. 11.3 - Coherent red light is incident on a mask with two...Ch. 11.3 - Prob. 3dTCh. 11.4 - Red light from a distant point source is incident...Ch. 11.4 - Suppose that point X marks the location of the...Ch. 11.4 - Suppose that only slit 1 is uncovered, and all...Ch. 11.4 - Show how you could group all ten slits into five...Ch. 11.4 - Suppose that the number of slits is doubled and...Ch. 11.4 - If we continued to add slits in this way (i.e.,...Ch. 11.4 - How is this pattern different from what you would...Ch. 11.4 - Consider the following dialogue: Student 1: "l...Ch. 11.4 - The photograph at right shows the diffraction...Ch. 11.4 - The photograph at right shows the diffraction...Ch. 11.4 - Describe what you would see on the screen if the...Ch. 11.4 - If a diffraction pattern has several minima (like...Ch. 11.4 - In part A, you drew a diagram that showed how find...Ch. 11.4 - Use the model that we have developed to write an...Ch. 11.5 - The minima that occur in the case of a single slit...Ch. 11.5 - Consider the following dispute between two physics...Ch. 11.5 - A second slit, identical in size to the first, is...Ch. 11.5 - Both slits are now uncovered. For what angles will...Ch. 11.5 - Suppose that the width of both slit, a, were...Ch. 11.5 - Suppose instead that the distance between the...Ch. 11.5 - The four graphs from part C that show relative...Ch. 11.5 - Consider the relative intensity graph shown at...Ch. 11.5 - Consider the following comment made by a student:...Ch. 11.5 - You may have already noticed that the maxima are...Ch. 11.6 - Prob. 1TCh. 11.6 - Prob. 2aTCh. 11.6 - When comparing two materials of different indices...Ch. 11.6 - Consider light incident on a thin soap film, as...Ch. 11.6 - Light of frequency f=7.51014Hz is incident on the...Ch. 11.6 - Suppose that an observer were located on the left...Ch. 11.6 - Observer A is looking at the part of the film that...Ch. 11.6 - Observer B is looking at the part of the film that...Ch. 11.6 - Observer C is looking at the thinnest part of the...Ch. 11.6 - Describe the appearance of the film as a whole.Ch. 11.6 - What are the three smallest film thickness for...Ch. 11.6 - The thickness of the film is 1650 nm at the bottom...Ch. 11.7 - Look at the room lights through one of the...Ch. 11.7 - Hold a second polarizing filter in front of the...Ch. 11.7 - Do the room lights produce polarized light?...Ch. 11.7 - Suppose that you had two marked polarizers (i.e.,...Ch. 11.7 - Suppose that you had a polarizer with its...Ch. 11.7 - Prob. 2dTCh. 11.7 - An observer is looking at a light source through...Ch. 11.7 - Consider a beam of unpolarized light that is...
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Similar questions
- Measure the distance between the sources, and the path distance from each of the sources to the nodal point shown on the diagram. Show the complete calculation for wavelength. Measure the path distances from each of the sources to the anti-nodal point shown on the diagram. Using measurements from part (i) for the distance between sources and the measurements made in part (ii), show the complete calculation for the wavelength. What effect would an increase in frequency have on the interference pattern? What effect would a decrease in the distance between the wave sources have on the interference pattern? If the phase of the vibrating sources was changed so that they were vibrating completely out of phase, what effect would this have on the interference pattern?arrow_forwardUsing the diagram, a. Compare (and contrast) how line A and line B are formed. b. On the diagram, draw in all the lines of constructive and destructive interference, and label all of the lines with their path length difference (ΔL) in terms of the wavelength (λ).arrow_forwardSolve both the sub-parts, only typingarrow_forward
- D. The top-view diagram at below illustrates two point-sources, Sı and S2 that are a distance d apart. S, S. 1. On the diagram, indicate locations for which the value of AL is (1) largest and (2) smallest. 2. What are the largest and smallest values of AL for this situation? Explain your reasoning. 3. What other information would you need to know in order to determine how many lines of constructive interference and nodal lines are present?arrow_forwardThe diagram below shows all the antinodal lines (dashed) and nodal lines (solid) due to two-point sources tapping a water surface (the two dots in the middle of the circle are the two-point sources). The sources are separated by an unknown distance d. The sources lie along a horizontal line. Are the two sources in phase or out of phase? Explain how you can tell from the diagram. If the two sources are out of phase, give the phase difference between the two sources. Explain. What is the source separation, d, in terms of the wavelength λ? Explain your reasoning.arrow_forwardIntroduction to Two-Source Interference Learning Goal: To gain an understanding of constructive and destructive interference. Consider two sinusoidal waves (1 and 2) of identical wavelength A, period T, and maximum amplitude A. A snapshot of one of these waves taken at a certain time is displayed in the figure below. (Figure 1) Let y₁ (z, t) and y2 (x, t) represent the displacement of each wave at position at time t. If these waves were to be in the same location (2) at the same time, they would interfere with one another. This would result in a single wave with a displacement y (z, t) given by y(z, t)= y(x, t) + y2(x, t). This equation states that at time t the displacement y (x, t) of the resulting wave at position z is the algebraic sum of the displacements of the waves 1 and 2 at position z at time t. When the maximum displacement of the resulting wave is less than the amplitude of the original waves, that is, when ymax A. the waves are said to interfere constructively because the…arrow_forward
- Part A and Barrow_forwardFrom the snapshot given on the top, draw a history graph D(x=2cm,t). I found the graph but I'm not sure exactly how that answer was found.arrow_forwardStanding Waves in Air Columns, fixed length- WT-1 You are designing an air-filled tube that is closed at one end and open at the other to have a sound wave with a fundamental frequency of 512HZ in air at sea level. a) Sketch a figure like the one shown to the right and draw below the tube the fundamental mode of vibration and the next three harmonics. Beside each pattern, write the tube-length-to-wavelength relationship. b) Find the length needed for this tube. c) Find the frequency needed for each standing wave pattem you sketched. Use your results from above to find the frequencies; do not use equations from memory. open closedarrow_forward
- Which of the graphs to the left correspond to each of the two initial waves you were given? You may find it helpful to plot these graphs on your own. If you do it by hand, you will gain even more insight. 1.) the graph that corresponds to y2( amplitude =1, wavelength =4, frequency =1 , and wave velocity =4)? 2.) the graphs the correspond to y1( amplitude =1, wavelength =2, frequency =1 and wave velocity =2)? 3.) the graphs that correspond to superposition of y1 and y2?arrow_forwardThe diagram below shows the pattern on a film after a long period of time. Points M and N mark areas of maximum intensity and zero intensity, respectively. M N A. Sketch the pattern you would expect to see on the screen if the left slit were covered. How, if at all, would your answer differ if the right slit were covered instead (and the left slit remained open)? Explain. B. Sketch the graphs of N versus x for the following two cases: (1) only the left slit is uncovered, and (2) only the right slit is uncovered. Assume that the experiment has been running for a long time. N x=0arrow_forwardTwo identical sources of sound separated by 2 m generate waves that are in phase with each other. The diagram shows a snapshot in time of the waves from the two sources, where the lines denote successive crests of the waves (solid lines from one and dashed lines from the other). 11 What is the wavelength λ of the waves? Provide a numerical answer. Draw the line on the diagram where the path difference of the waves from the two sources is always zero. Is the interference on this line constructive or destructive? Is this a nodal or an antinodal line? Mark points on the diagram where the path lengths from the two sources differ by X/2, X, 3A/2, and 2A. Join the points to draw all the possible nodal and antinodal lines. If you walk around the two sources in a large circle with 5 m radius from the midpoint of the two sources, at how many places will you experience complete sound cancellation?arrow_forward
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